Charged Particle Near Current Wire

Consider a long thin conducting wire carrying a uniform current I. A particle having mass “M” and charge “q” is released at a distance “a" from the wire with a speed v_o along the direction of current in the wire. The particle gets attracted to the wire due to magnetic force. The particle turns round when it is at distance x from the wire. The value of x is [μ₀ is vacuum permeability]